5822104672800 has 576 divisors, whose sum is σ = 22842023016960. Its totient is φ = 1422663229440.

The previous prime is 5822104672789. The next prime is 5822104672831. The reversal of 5822104672800 is 82764012285.

5822104672800 is a `hidden beast` number, since 582 + 2 + 1 + 0 + 4 + 67 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38393929 + ... + 38545271.

It is an arithmetic number, because the mean of its divisors is an integer number (39656289960).

Almost surely, 2^{5822104672800} is an apocalyptic number.

5822104672800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5822104672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11421011508480).

5822104672800 is an abundant number, since it is smaller than the sum of its proper divisors (17019918344160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5822104672800 is a wasteful number, since it uses less digits than its factorization.

5822104672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151522 (or 151503 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5822104672800 in words is "five trillion, eight hundred twenty-two billion, one hundred four million, six hundred seventy-two thousand, eight hundred".